Lil Wayne was so furious about his "Nightline﻿" interview we're told his camp repeatedly demanded ABC News pull the plug.

Sources connected to Wayne tell TMZ ... the rapper's camp sent the network several emails insisting the interview never see the light of day, but ABC never responded. We're told Wayne's rationale was simple -- the interviewer, Linsey Davis, crossed the line by asking questions he says were NOT pre-approved.

We broke the story ... Weezy got agitated when Davis asked a question about his daughter, which he says aggravated him so much ... he blasted the black lives matter movement a few minutes later.

ABC News tells us nothing was pre-approved with Wayne's camp, and, "When it came to the questions and the topics of the interview nothing was off limits."

Wayne was definitely not happy -- we're told he fired his publicists when the segment aired.